We propose a regimen of six months neoadjuvant lenvatinib in combination with transcatheter arterial chemoembolization (TACE) prior to liver transplantation in patients with hepatocellular carcinoma (HCC) beyond Milan Criteria. Clinical, outcomes, and exploratory data will be compared to a matched, retrospective cohort. HCC is the third leading cause of cancer death worldwide with more than 230,000 cases of HCC since 2000 and an estimated 42,000 new cases next year. The purpose of this trial is to examine if combination therapy of lenvatinib (LENVIMA®, Eisai Inc., Woodcliff Lake, NJ) plus transcatheter arterial chemoembolization (TACE) will promote tumor necrosis evidenced by explant pathology in patients with large HCC (>5 cm). TACE blocks blood supply to the tumor and induces tumor necrosis, but this causes hypoxia and subsequent angiogenesis.